2012724 has 72 divisors (see below), whose sum is σ = 5969600. Its totient is φ = 571536.

The previous prime is 2012719. The next prime is 2012741. The reversal of 2012724 is 4272102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012697 and 2012706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12267 + ... + 12429.

2^2012724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984800).

2012724 is an abundant number, since it is smaller than the sum of its proper divisors (3956876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012724 is a wasteful number, since it uses less digits than its factorization.

2012724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2012724 is about 1418.7050433406. The cubic root of 2012724 is about 126.2587276259.

Adding to 2012724 its reverse (4272102), we get a palindrome (6284826).

The spelling of 2012724 in words is "two million, twelve thousand, seven hundred twenty-four".